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In this paper, we introduce  α , h − m − p -convex function and some related functions. By applying this generalized definition, new versions of Hadamard and Fejér–Hadamard fractional integral inequalities for Riemann–Liouville fractional integrals are given. The presented results hold at the same time for different types of convexities.

mathematical problems in engineering

Hadamard and Fejér–Hadamard Inequalities for <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mfenced open="(" close=")" separators="|"> <mrow> <mi>α</mi> <mo>,</mo> <mi>h</mi> <mo>−</mo> <mi>m</mi> </mrow> </mfenced> <mo>−</mo> <mi>p</mi> </math>-Convex Functions via Riemann–Liouville Fractional Integrals

Hadamard and Fejér–Hadamard Inequalities for α , h − m − p -Convex Functions via Riemann–Liouville Fractional Integrals

Hadamard and Fejér–Hadamard Inequalities for $(α, h - m) - p$ -Convex Functions via Riemann–Liouville Fractional Integrals